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428343552 = 2834713227
BaseRepresentation
bin11001100010000…
…000000100000000
31002212000002220000
4121202000010000
51334123443202
6110300520000
713420601010
oct3142000400
91085002800
10428343552
111aa87493a
12bb550000
136a986630
1440c61c40
152791191c
hex19880100

428343552 has 360 divisors, whose sum is σ = 1578916416. Its totient is φ = 112472064.

The previous prime is 428343533. The next prime is 428343557. The reversal of 428343552 is 255343824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (428343557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886863 + ... + 1887089.

Almost surely, 2428343552 is an apocalyptic number.

428343552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789458208).

428343552 is an abundant number, since it is smaller than the sum of its proper divisors (1150572864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428343552 is a wasteful number, since it uses less digits than its factorization.

428343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 428343552 is about 20696.4623063943. The cubic root of 428343552 is about 753.8137898044.

The spelling of 428343552 in words is "four hundred twenty-eight million, three hundred forty-three thousand, five hundred fifty-two".